A finite grid solution for circular plates on elastic foundations

Karaşi̇n, Abdulhalim; Gülkan, Polat; Aktas, Gultekin

doi:10.1007/s12205-014-0713-x

Cited by 11 publications

(6 citation statements)

References 8 publications

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“…Also, it can be seen that the maximum vertical displacement takes place at time (0.47 sec.) for length (6 m) and the same amplitude loads, Figure (11).  From Figure (12), it can be noticed that the maximum vertical stress takes place at time (0.28 sec.)…”

Section: Effect Of Foundation Lengthmentioning

confidence: 90%

“…Figures (9) to (11) show the results of studying the effect of foundation length under different values of load amplitude (po = 25, 75, 100) kN on the vertical displacement, and the relationship between the vertical displacement and distance at different times, while Figures (12) to ( 14) depict the results of the effect of foundation length on the time history of vertical stress (σz) and the relationship between the vertical stress and distance at different times. The time variation of the vertical displacement is presented in Figures (9) to (11), while the vertical stress and time relations are presented in Figures (12) to (14). It can be concluded that:  When increasing the foundation length, it is noticed that the oscillation for the vertical displacement with time diminishes, which means that the foundation becomes more stable.…”

Section: Effect Of Foundation Lengthmentioning

confidence: 99%

“…It can be concluded that:  When increasing the foundation length, it is noticed that the oscillation for the vertical displacement with time diminishes, which means that the foundation becomes more stable. While, loading the soil under the location of point load makes it well compacted (more dense) which leads to push the nearest soil to the side, leading to uplift the foundation sides to the positive area, as shown in Figures ( 9), ( 10) and (11).  Increasing the foundation length will lead to widen the influenced region around the loading point, as well as confinement of soil because of the nearest layers which will cause other waves to act around the loading point, Figure (14).…”

Section: Effect Of Foundation Lengthmentioning

confidence: 99%

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Behavior of Plate on Elastic Foundation under Impact Load

Fattah¹,

Hamood²,

Abbas³

2014

ETJ

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In this study, nonlinear three-dimensional finite element analysis has been used to conduct a numerical investigation of the effect of applied impact load on the foundation based on sandy soil using the finite element method by ANSYS (Version 11) computer program. The 8-node brick elements are used to represent the concrete of foundation and the soil under the foundation which are denoted by Solid 65 for concrete and Solid 45 for the soil and the interface is modeled by using three-dimensional surface-to-surface (Target 170 and Contact 174) contact elements connected with concrete and soil. As a case study, a concrete foundation with dimensions (3×3×0.3) m placed on the soil 15 m deep and 9 m away from the edge of foundation is subjected to impact load. A parametric study is carried out to investigate the effect of several parameters including: foundation dimensions (geometry) and amplitude of impact load.It was concluded that as the foundation thickness increases, the time for maximum displacement to take place increases due to geometrical damping induced by the foundation. When the length of foundation increases, the oscillation of vertical displacement decreases, which means that the foundation becomes more stable.

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Section: Effect Of Foundation Lengthmentioning

confidence: 90%

Section: Effect Of Foundation Lengthmentioning

confidence: 99%

Section: Effect Of Foundation Lengthmentioning

confidence: 99%

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Behavior of Plate on Elastic Foundation under Impact Load

Fattah¹,

Hamood²,

Abbas³

2014

ETJ

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“…The authors of [4] believe that the two-parameter elastic base model demonstrates a more realistic ground reaction behavior than the one-parameter Winkler model. Circular plates are modeled as a set of individual beam elements connected together in the radial and tangential directions.…”

Section: Recent Research Analysismentioning

confidence: 99%

Analytical Method for Calculating Annular Plates on a Variable Elastic Base

Surianinov¹,

Krutii²,

Karnaukhova³

et al. 2022

MCA

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The paper considers the application of the method of direct integration to calculations of annular plates and slabs on a continuous variable elastic base. Ring-shaped plates with variable geometric and mechanical parameters are increasingly used. Not only the elastic base, but also the plate thickness and cylindrical stiffness can be variable parameters here. The need for an analytical method for calculating such structures raises no doubts, since it makes it possible to evaluate the accuracy of finite-element analysis. To date, there are no proposals in the literature regarding a general analytical method for the calculation of annular plates on a variable elastic base. A detailed description of the algorithm of the direct integration method is not given in the paper, and all the calculation formulas for the annular plate are taken from the authors' already published article. The results of numerical implementation of this algorithm for specific examples are considered: a concrete plate, which is rigidly pinch on the inner contour, and its outer contour is free, and a steel plate, which is rigidly pinch on the outer contour, and its inner contour is free. To estimate the results of calculation by the author's method, computer modeling of the considered structures in PC LIRA-SAPR and their calculations by the finite-element method have been executed. The foundation reaction is described by Winkler model with a variable bedding factor. In the first case a bed factor is assumed constant, and in the second case it changes under the linear law. Calculations have shown that discrepancy between deflections calculated by the finite-element method and the author's method does not exceed 1 %, and the results of radial and circumferential moments calculation differ more considerably, amounting to 10 %. The authors explain this difference by the inaccuracy of the numerical analysis associated with the semi-automatic method of constructing a finite-element mesh, which should be made finer. The densification of the mesh in the manual mode of its partitioning significantly reduces the discrepancy between the results of calculating the deflections, radial and circumferential bending moments by the finite-element method and the author's method.

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“…In literature, there are some numerical studies performed making use of the finite element method (FEM) and/or Ritz vectors-eigenvectors to compute the behavior of structural members (Karasin and Gulkan, 2007;Zhou and Zheng, 2008;Cunedioglu, 2011;Jung et al, 2011;Özütok and Madenci, 2013;Mazurkiewicz et al, 2013).…”

Section: Introductionmentioning

confidence: 99%

Experimental confirmation for the validity of Ritz method in structural dynamic analysis

Aktas

Karaşi̇n

2014

jtam

Self Cite

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The issue of Ritz vectors and their advantages is well-known in the field of structural engineering. This study deals with Ritz analysis and its experimental support. To that end, two different precast concrete molds were handled. Experiments were performed under vibration with the use of a computer-based data acquisition system. Transducers were used to measure displacement histories on the mold. Three dimensional finite element (3D FEM) simulation modeling of the concrete mold was carried out to obtain deflection histories on the mold. The computed displacement histories were compared with the experimental testing results. The comparisons show that the experimental and numerical results are compatible.

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A finite grid solution for circular plates on elastic foundations

Cited by 11 publications

References 8 publications

Behavior of Plate on Elastic Foundation under Impact Load

Behavior of Plate on Elastic Foundation under Impact Load

Analytical Method for Calculating Annular Plates on a Variable Elastic Base

Experimental confirmation for the validity of Ritz method in structural dynamic analysis

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